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Finding the Fourth Proportional to 2,348.22, 3,522.79 and 1,049.69

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Solution

The fourth proportional to 2,348.22, 3,522.79 and 1,049.69 is: 1,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.22 : 3,522.79 = 1,049.69 : x
  2. Step 2: Convert to fraction form
    2,348.22/3,522.79 = 1,049.69/x
  3. Step 3: Cross multiply
    2,348.22x = 3,522.79 × 1,049.69
  4. Step 4: Simplify right side
    2,348.22x = 3,697,837.44
  5. Step 5: Solve for x
    x = 3,697,837.44/2,348.22
  6. Step 6: Final answer
    x = 1,574.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.